Question

[Vũ Mai Linh]

\(\frac{x-1}{2009}+\frac{x-2}{2008}=\frac{x-3}{2007}+\frac{x-4}{2006}\)

Tìm x

Answer 1

[Đen đủi mất cái nik]

Ta có:

x-1/2009 + x-2/2008 = x-3/2007 + x-4/2006

=> (x-1/2009 - 1)+(x-2/2008 - 1) = (x-3/2007 - 1) + (x-4/2006 -1 )

=> x-2010/2009 + x-2010/2008 = x-2010/2007 + x-2010/2006

=> x-2010/2009 + x-2010/2008 -  (x-2010/2007 + x-2010/2006)=0

=> (x-2010)(1/2009+1/2008-1/2007-1/2006)=0

Vì (1/2009+1/2008-1/2007-1/2006) KHÁC 0

=>x-2010=0

=>x=2010

Answer 2

[Vũ Mai Linh]

Cảm ơn bạn nhiều !